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    Question

    The ratio of the male to female employees in the company

    in 2015 was 5:4, respectively. In 2016, the male employees and female employees increased by 18% and 20%, respectively. If the total number of employees in 2016 was 3852, then find the number of female employees in 2015.
    A 1260 Correct Answer Incorrect Answer
    B 1560 Correct Answer Incorrect Answer
    C 1440 Correct Answer Incorrect Answer
    D 1640 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the number of male and female employees in 2015 be 5x and 4x, respectively.
    According to question,
    1.18 × 5x + 1.2 × 4x = 3852
    5.9x + 4.8x = 3852
    10.7x = 3852, x = 360
    So, required number of female employees = 4x = 1440

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